On the Correlation between Banach Contraction Principle and Caristi’s Fixed Point Theorem in b -Metric Spaces

Salvador Romaguera
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Salvador Romaguera: Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain

Mathematics, 2022, vol. 10, issue 1, 1-7

Abstract: We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrović in their paper “A Proposal for Revisiting Banach and Caristi Type Theorems in b -Metric Spaces”. We also characterize the completeness of b -metric spaces with the help of a variant of the contractivity condition introduced by the authors in the aforementioned article.

Keywords: b-metric space; complete; fixed point; the Banach contraction principle; Caristi’s fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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